8(x+5)=10(x-4)+36

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Solution for 8(x+5)=10(x-4)+36 equation: 


Simplifying
8(x + 5) = 10(x + -4) + 36

Reorder the terms:
8(5 + x) = 10(x + -4) + 36
(5 * 8 + x * 8) = 10(x + -4) + 36
(40 + 8x) = 10(x + -4) + 36

Reorder the terms:
40 + 8x = 10(-4 + x) + 36
40 + 8x = (-4 * 10 + x * 10) + 36
40 + 8x = (-40 + 10x) + 36

Reorder the terms:
40 + 8x = -40 + 36 + 10x

Combine like terms: -40 + 36 = -4
40 + 8x = -4 + 10x

Solving
40 + 8x = -4 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
40 + 8x + -10x = -4 + 10x + -10x

Combine like terms: 8x + -10x = -2x
40 + -2x = -4 + 10x + -10x

Combine like terms: 10x + -10x = 0
40 + -2x = -4 + 0
40 + -2x = -4

Add '-40' to each side of the equation.
40 + -40 + -2x = -4 + -40

Combine like terms: 40 + -40 = 0
0 + -2x = -4 + -40
-2x = -4 + -40

Combine like terms: -4 + -40 = -44
-2x = -44

Divide each side by '-2'.
x = 22

Simplifying
x = 22

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